Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

Raúl Peralta; Cruz Vargas-De-León; Pedro Miramontes

doi:10.1155/2015/341854

Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

Raúl Peralta, Cruz Vargas-De-León, Pedro Miramontes

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9 Scopus citations

Abstract

We formulate a susceptible-vaccinated-infected-recovered (SVIR) model by incorporating the vaccination of newborns, vaccine-age, and mortality induced by the disease into the SIR epidemic model. It is assumed that the period of immunity induced by vaccines varies depending on the vaccine-age. Using the direct Lyapunov method with Volterra-type Lyapunov function, we show the global asymptotic stability of the infection-free and endemic steady states.

Original language	English
Article number	341854
Journal	Abstract and Applied Analysis
Volume	2015
DOIs	https://doi.org/10.1155/2015/341854
State	Published - 2015
Externally published	Yes

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title = "Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age",

abstract = "We formulate a susceptible-vaccinated-infected-recovered (SVIR) model by incorporating the vaccination of newborns, vaccine-age, and mortality induced by the disease into the SIR epidemic model. It is assumed that the period of immunity induced by vaccines varies depending on the vaccine-age. Using the direct Lyapunov method with Volterra-type Lyapunov function, we show the global asymptotic stability of the infection-free and endemic steady states.",

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AU - Vargas-De-León, Cruz

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AB - We formulate a susceptible-vaccinated-infected-recovered (SVIR) model by incorporating the vaccination of newborns, vaccine-age, and mortality induced by the disease into the SIR epidemic model. It is assumed that the period of immunity induced by vaccines varies depending on the vaccine-age. Using the direct Lyapunov method with Volterra-type Lyapunov function, we show the global asymptotic stability of the infection-free and endemic steady states.

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U2 - 10.1155/2015/341854

DO - 10.1155/2015/341854

M3 - Artículo

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VL - 2015

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

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ER -

Global stability results in a SVIR epidemic model with immunity loss rate depending on the vaccine-age

Abstract

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